The number 46048
46048 is a composite number with 12 divisors. Its prime factorisation is × 1439. Divisors (12): 1, 2, 4, 8, 16, 32, 1439, 2878, 5756, 11512, 23024, 46048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46048 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 46048 itself that is 44672, so 46048 is deficient (44672 is less than 46048). Euler's totient φ(46048) = 23008 numbers up to 46048 share no factor with it.
- 4
The digits of 46048 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46048 = 2^{5} \times 1439 \]46048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 23008 |
| Square | 2120418304 |
| Cube | 97641022062592 |
| Square root | 214.587977 (= 4√2878) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.6048 × |
46048 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and forty-eight |
| Binary (base 2) | 1011001111100000 |
| Octal (base 8) | 131740 |
| Hexadecimal (base 16) | B3E0 |
| Base 3 | 2100011111 |
| As time | 46048 seconds = 12 h 47 min 28 s |
Is 46048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46048 ÷ 2 = 23024) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46048 ÷ 4 = 11512) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (46048 ÷ 8 = 5756) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46048 a prime number?
No. 46048 = × 1439, so it is divisible by 2.
What are the factors of 46048?
1, 2, 4, 8, 16, 32, 1439, 2878, 5756, 11512, 23024, 46048.
What is 46048 in binary?
1011001111100000 (hexadecimal B3E0, octal 131740).
What is the square root of 46048?
About 214.5880, exactly 4√2878.
Is 46048 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 46048?
It is a composite number with 12 divisors.